6,318,575

5² × 31² × 263

Starting at 6,318,575, the Collatz iteration reaches 1 after 126 steps. The first transition is 18955726; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 31^2 × 263

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 8,126,712

Proper Divisor Sum 1,808,137

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6318553 ← → #6318589

Radix Representation

Decimal	6318575
Binary	11000000110100111101111 (23 bits)
Octal	0o30064757
Hexadecimal	0x6069EF

Divisor Catalog (18)

1 5 25 31 155 263 775 961 1,315 4,805 6,575 8,153 24,025 40,765 203,825 252,743 1,263,715 6,318,575

Collatz Trajectory (126 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,318,575 18,955,726 9,477,863 28,433,590 14,216,795 42,650,386 21,325,193 63,975,580 31,987,790 15,993,895 47,981,686 23,990,843 71,972,530 35,986,265 107,958,796 53,979,398 26,989,699 80,969,098 40,484,549 121,453,648 60,726,824 30,363,412 15,181,706 7,590,853 22,772,560 11,386,280 5,693,140 2,846,570 1,423,285 4,269,856 2,134,928 1,067,464 533,732 266,866 133,433 400,300 200,150 100,075 300,226 150,113 450,340 225,170 112,585 337,756 168,878 84,439 253,318 126,659 379,978 189,989 569,968 284,984 142,492 71,246 35,623 106,870 53,435 160,306 80,153 240,460

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